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Finding the Fourth Proportional to 3,997.10, 5,996.06 and 1,533.98

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Solution

The fourth proportional to 3,997.10, 5,996.06 and 1,533.98 is: 2,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.10 : 5,996.06 = 1,533.98 : x
  2. Step 2: Convert to fraction form
    3,997.10/5,996.06 = 1,533.98/x
  3. Step 3: Cross multiply
    3,997.10x = 5,996.06 × 1,533.98
  4. Step 4: Simplify right side
    3,997.10x = 9,197,798.47
  5. Step 5: Solve for x
    x = 9,197,798.47/3,997.10
  6. Step 6: Final answer
    x = 2,301.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.